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Simplifying 2(7 + -1t) + 10 = -10(t + -3) + -8 (7 * 2 + -1t * 2) + 10 = -10(t + -3) + -8 (14 + -2t) + 10 = -10(t + -3) + -8 Reorder the terms: 14 + 10 + -2t = -10(t + -3) + -8 Combine like terms: 14 + 10 = 24 24 + -2t = -10(t + -3) + -8 Reorder the terms: 24 + -2t = -10(-3 + t) + -8 24 + -2t = (-3 * -10 + t * -10) + -8 24 + -2t = (30 + -10t) + -8 Reorder the terms: 24 + -2t = 30 + -8 + -10t Combine like terms: 30 + -8 = 22 24 + -2t = 22 + -10t Solving 24 + -2t = 22 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 24 + -2t + 10t = 22 + -10t + 10t Combine like terms: -2t + 10t = 8t 24 + 8t = 22 + -10t + 10t Combine like terms: -10t + 10t = 0 24 + 8t = 22 + 0 24 + 8t = 22 Add '-24' to each side of the equation. 24 + -24 + 8t = 22 + -24 Combine like terms: 24 + -24 = 0 0 + 8t = 22 + -24 8t = 22 + -24 Combine like terms: 22 + -24 = -2 8t = -2 Divide each side by '8'. t = -0.25 Simplifying t = -0.25
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